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Finding the Fourth Proportional to 556.98, 830.42 and 542.56

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Solution

The fourth proportional to 556.98, 830.42 and 542.56 is: 808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 830.42 = 542.56 : x
  2. Step 2: Convert to fraction form
    556.98/830.42 = 542.56/x
  3. Step 3: Cross multiply
    556.98x = 830.42 × 542.56
  4. Step 4: Simplify right side
    556.98x = 450,552.68
  5. Step 5: Solve for x
    x = 450,552.68/556.98
  6. Step 6: Final answer
    x = 808.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.